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Weierstrass Points on Rational Nodal Curves of Genus 3

Published online by Cambridge University Press:  20 November 2018

R. F. Lax  and
Carl Widland
R. F. Lax
Affiliation:
Department of Mathematics Louisiana State University Baton Rouge, La 70803 U.S.A.
Carl Widland
Affiliation:
Department of Mathematics Indiana University at Kokomo Kokomo, IN 46901, U.S.A.
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Abstract

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We determine, except for one unsettled case, which combinations of Weierstrass weights can occur on irreducible rational nodal curves of arithmetic genus three. It is shown that the number of nonsingular Weierstrass points on such curves can be any integer between 0 and 6, except 1.

Keywords

14H4514F07
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 3 , 01 September 1987 , pp. 286 - 294
Copyright
Copyright © Canadian Mathematical Society 1987

References

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